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Finding the Third Proportional to 211,470.75 and 323,903.81

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Solution

The third proportional to 211,470.75 and 323,903.81 is: 496,114.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,470.75 : 323,903.81 = 323,903.81 : x
  2. Step 2: Convert to fraction form
    211,470.75/323,903.81 = 323,903.81/x
  3. Step 3: Cross multiply
    211,470.75x = 323,903.81 × 323,903.81
  4. Step 4: Simplify right side
    211,470.75x = 104,913,679,752.04
  5. Step 5: Solve for x
    x = 104,913,679,752.04/211,470.75
  6. Step 6: Final answer
    x = 496,114.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.